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Finding the Fourth Proportional to 1,469.85, 2,028.40 and 806.71

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Solution

The fourth proportional to 1,469.85, 2,028.40 and 806.71 is: 1,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.85 : 2,028.40 = 806.71 : x
  2. Step 2: Convert to fraction form
    1,469.85/2,028.40 = 806.71/x
  3. Step 3: Cross multiply
    1,469.85x = 2,028.40 × 806.71
  4. Step 4: Simplify right side
    1,469.85x = 1,636,330.56
  5. Step 5: Solve for x
    x = 1,636,330.56/1,469.85
  6. Step 6: Final answer
    x = 1,113.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.